Matrix regular operator space and operator system

Kyung Hoon Han

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arXiv · 1002.1520

Matrix regular operator space and operator system

Kyung Hoon Han

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Abstract

We establish a relationship between Schreiner's matrix regular operator space and Werner's (nonunital) operator system. For a matrix ordered operator space $V$ with complete norm, we show that $V$ is completely isomorphic and complete order isomorphic to a matrix regular operator space if and only if both $V$ and its dual space $V^*$ are (nonunital) operator systems.

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BibTeX RIS

Kyung Hoon Han. 2010-02-08. Matrix regular operator space and operator system. https://arxiv.org/abs/1002.1520

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